On the spline transform of step-wise functions

Jean-Paul Calvi; Livio Tilatti

doi:10.4171/rlm/799

JournalsrlmVol. 29, No. 1pp. 173–193

On the spline transform of step-wise functions

Jean-Paul Calvi
Université Toulouse III, France
- MathSciNet
- zbMATH Open
Livio Tilatti
Office National des Forêts, Foix, France
- MathSciNet
- zbMATH Open

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Abstract

We establish some properties of the classical area-preserving spline transform of step-wise functions and propose a regularization algorithm for the positive step-wise functions whose spline transform fails to be non negative.

Cite this article

Jean-Paul Calvi, Livio Tilatti, On the spline transform of step-wise functions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 1, pp. 173–193

DOI 10.4171/RLM/799